Final answer:
To create the equation for this problem, we use the given information step by step and combine the elements to get the equation 7 + |x - 8| = -2x + 4.
Step-by-step explanation:
To create the equation for this problem, we need to break down the given information step by step:
- The sum of 7 and the absolute value of the difference of a number and 8: 7 + |x - 8|
- Is equal to: =
- -2 times a number plus 4: -2x + 4
Combining these elements, we get the equation 7 + |x - 8| = -2x + 4.